Adsorção sequencial e aleatória para a deposição de dímeros em uma cadeia linear

Abstract

This work focuses on the study of dimer adsorption on a linear lattice. Our main objective is to map the dimer density along the chain over time under random deposition. Notably, when the number of sites becomes infinite, our natural perception of density needs to be updated, and ergodic theory becomes necessary. A more orthodox approach is to tackle the problem using the master equation, given that the system is Markovian; however, we propose an alternative solution. In certain aspects, this problem of adsorption on a linear lattice is a longstanding one, with well-established solutions in the literature. Nonetheless, recent years have seen the emergence of solutions that do not rely on differential equations. We will explore one of these solutions, which can be useful for more complex systems and provide a better understanding of adsorption processes.